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Finding the Fourth Proportional to 3,800.34, 5,243 and 2,808

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Solution

The fourth proportional to 3,800.34, 5,243 and 2,808 is: 3,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.34 : 5,243 = 2,808 : x
  2. Step 2: Convert to fraction form
    3,800.34/5,243 = 2,808/x
  3. Step 3: Cross multiply
    3,800.34x = 5,243 × 2,808
  4. Step 4: Simplify right side
    3,800.34x = 14,722,344
  5. Step 5: Solve for x
    x = 14,722,344/3,800.34
  6. Step 6: Final answer
    x = 3,873.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.